The Singular Sturm-Liouville operator and stability theorem

چکیده مقاله

In this work, we consider the singular Sturm-Liouville equation $ell y=-y'+q(x)y=lambda y (0.1)$ on the interval [0, T], where q is a real function and has a singular point inside the interval, and $ λ = ρ2 $ is the spectral parameter independent of $x$. The solution of the equation (0.1) and the eigenvalues are obtained, and the stability of the solution of the inverse problem is investigated